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3 years ago

Which multiplication properties is 1/5•5

Mathematics

1 answer:

allsm [11]3 years ago

8 0

See picture for solution to your problem.

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago

54 ÷ 6 x (12-4) + 2 =

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

5 0

3 years ago

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The plate is rotated 90° about the origin in the counterclockwise direction. In the rotated trapezoid, what are the coordinates

Crazy boy [7]

You haven't provided the coordinates of the original trapezium, therefore, I can only help with the concept.

From the givens, we can know that the rotation was 90° counter-clockwise about the origin.

<u>The rule for this rotation is:</u>

(x , y) ..............> (-y , x)

This means that to get the points of the rotated image, negate the y-value then exchange it with the x-value

<u>Examples:</u>

(1 , 3) rotated 90° counter-clockwise about the origin will give (-3 , 1)

(-2 , 4) rotated 90° counter-clockwise about the origin will give (-4 , -2)

(1 , -2) rotated 90° counter-clockwise about the origin will give (2 , 1)

(-3 , -5) rotated 90° counter-clockwise about the origin will give (5 , -3)

Hope this helps :)

4 0

3 years ago

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What is the answer to this please??

SIZIF [17.4K]

The length of CA is opposite of angle B and since the hypotenuse is known, you can write an equation like this: sin 40 = x/7 which simplifies to sin40 * 7 = x. The answer is A

8 0

3 years ago

What is the perimeter of this equilateral triangle?

bonufazy [111]

9 + 9 + 9

your welcome

5 0

2 years ago

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